33020020100993 has 2 divisors, whose sum is σ = 33020020100994. Its totient is φ = 33020020100992.

The previous prime is 33020020100959. The next prime is 33020020101053. The reversal of 33020020100993 is 39900102002033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32454806335744 + 565213765249 = 5696912^2 + 751807^2 .

It is a cyclic number.

It is not a de Polignac number, because 33020020100993 - 2⁶ = 33020020100929 is a prime.

It is not a weakly prime, because it can be changed into another prime (33020020180993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16510010050496 + 16510010050497.

It is an arithmetic number, because the mean of its divisors is an integer number (16510010050497).

Almost surely, 2^{33020020100993} is an apocalyptic number.

It is an amenable number.

33020020100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

33020020100993 is an equidigital number, since it uses as much as digits as its factorization.

33020020100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 33020020100993 in words is "thirty-three trillion, twenty billion, twenty million, one hundred thousand, nine hundred ninety-three".